HOLONOMY GROUPS OF 5-DIMENSIONAL BIEBERBACH-GROUPS

Authors
SZCZEPANSKI A
Citation
A. Szczepanski, HOLONOMY GROUPS OF 5-DIMENSIONAL BIEBERBACH-GROUPS, Manuscripta mathematica, 90(3), 1996, pp. 383-389
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
90
Issue
3
Year of publication
1996
Pages
383 - 389
Database
ISI
SICI code
0025-2611(1996)90:3<383:HGO5B>2.0.ZU;2-J
Abstract
Let Gamma be a Bieberbach group - that is a torsion free crystallograp hic group. In this paper we give a list of the isomorphism types of al l holonomy groups of five-dimensional Bieberbach groups. An applicatio n to the problem of estimating the covolume of a discrete group of ori entation-preserving isometries of hyperbolic 6-space is also given.